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Update 2024-03-01-数学学习.md
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nooblong committed Aug 27, 2024
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Expand Up @@ -299,11 +299,11 @@ x3 = 1/2 * 161/72 + 5/2 * 161/72

slove (64.1)^(1/3) ~= ?

y = x^1/3, dy = 1/3^(-2/3) dx
y = x^1/3, dy = 1/3^(-2/3) dx(dy,dx视作无限小,只是题目取1/10)

A + x = 64, y = 64^(1/3) = 4

dy = 1/3(64)^(-2/3) dx = 1/3 * 1/16 dx = 1/48 dx
dy = 1/3(64)^(-2/3) dx = 1/3 * 1/16 dx = 1/48 dx (线性近似结果)

dx = 1/10, dy = 1/48 dx = 1/480

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